Answer:
2.29 ft of side length and 1.14 height
Step-by-step explanation:
a) Volume V = x2h, where x is side of square base and h is hite.
Then surface area S = x2 + 4xh because box is open.
b) From V = x2h = 6 we have h = 6/x2.
Substitude in formula for surface area: S = x2 + 4x·6/x2, S = x2 + 24/x.
We get S as function of one variable x. To get minimum we have to find derivative S' = 2x - 24/x2 = 0, from here 2x3 - 24 = 0, x3 = 12, x = (12)1/3 ≅ 2.29 ft.
Then h = 6/(12)2/3 = (12)1/3/2 ≅ 1.14 ft.
To prove that we have minimum let get second derivative: S'' = 2 + 48/x3, S''(121/3) = 2 + 48/12 = 6 > 0.
And because by second derivative test we have minimum: Smin = (12)2/3 + 4(12)1/3(12)1/3/2 = 3(12)2/3 ≅ 15.72 ft2
Answer: 7
Step-by-step explanation: The only pattern in this sequence that I can see is addition by 4. Therefore, the 3rd term is 15, the 2nd is 11, the 1st is 7.
Please consider Brainliest.
Answer:
(x+3)=-6
x=-6-3
x=-9
Step-by-step explanation:
Hope it helps!
When side changes positive changes into negative.
<span>309,058,304 hope this helps!!
</span>
The number of minutes that Josie will take is 80 minutes.
<u>Explanation:</u>
<u />
Explanation:
Ratio of the number of minutes to the number of miles = 
Number of miles = 10
Number of minutes = ?
Let x be the number of minutes
According to the question,
Therefore, the number of minutes that Josie will take is 80 minutes.
